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52505642666613 = 3294125435788373
BaseRepresentation
bin10111111000000111011000…
…01011100000101001110101
320212220111020111212222202210
423330003230023200221311
523340223024010312423
6303400431555324033
714026256525604603
oct1374035413405165
9225814214788683
1052505642666613
1115803577514304
125a7bb415b0619
13233b35114aaa6
14cd7402870873
15610bd3d21b93
hex2fc0ec2e0a75

52505642666613 has 32 divisors (see below), whose sum is σ = 74217142218240. Its totient is φ = 32959453237760.

The previous prime is 52505642666599. The next prime is 52505642666627. The reversal of 52505642666613 is 31666624650525.

52505642666613 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52505642666599) and next prime (52505642666627).

It is not a de Polignac number, because 52505642666613 - 26 = 52505642666549 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52505642656613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6176695 + ... + 11965067.

It is an arithmetic number, because the mean of its divisors is an integer number (2319285694320).

Almost surely, 252505642666613 is an apocalyptic number.

It is an amenable number.

52505642666613 is a deficient number, since it is larger than the sum of its proper divisors (21711499551627).

52505642666613 is a wasteful number, since it uses less digits than its factorization.

52505642666613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5790989.

The product of its (nonzero) digits is 46656000, while the sum is 57.

The spelling of 52505642666613 in words is "fifty-two trillion, five hundred five billion, six hundred forty-two million, six hundred sixty-six thousand, six hundred thirteen".

Divisors: 1 3 29 41 87 123 1189 2543 3567 7629 73747 104263 221241 312789 3023627 5788373 9070881 17365119 167862817 237323293 503588451 711969879 6882375497 14719832539 20647126491 44159497617 426875143631 603513134099 1280625430893 1810539402297 17501880888871 52505642666613